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Finding the Third Proportional to 242,039.39 and 526,827.80

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Solution

The third proportional to 242,039.39 and 526,827.80 is: 1,146,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,039.39 : 526,827.80 = 526,827.80 : x
  2. Step 2: Convert to fraction form
    242,039.39/526,827.80 = 526,827.80/x
  3. Step 3: Cross multiply
    242,039.39x = 526,827.80 × 526,827.80
  4. Step 4: Simplify right side
    242,039.39x = 277,547,527,560.17
  5. Step 5: Solve for x
    x = 277,547,527,560.17/242,039.39
  6. Step 6: Final answer
    x = 1,146,703.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.